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402031101440 = 2951753174299
BaseRepresentation
bin1011101100110101110…
…10111100011000000000
31102102201020110000101002
411312122322330120000
523041324430221230
6504405053431132
741021463656363
oct5663272743000
91372636400332
10402031101440
11145556091a31
1265abb49b4a8
132bbb0384b07
141565bc360da
15a6ceda1545
hex5d9aebc600

402031101440 has 160 divisors (see below), whose sum is σ = 1039897504800. Its totient is φ = 148496318464.

The previous prime is 402031101413. The next prime is 402031101449. The reversal of 402031101440 is 44101130204.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402031101449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2219411 + ... + 2393709.

It is an arithmetic number, because the mean of its divisors is an integer number (6499359405).

Almost surely, 2402031101440 is an apocalyptic number.

402031101440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402031101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519948752400).

402031101440 is an abundant number, since it is smaller than the sum of its proper divisors (637866403360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

402031101440 is a wasteful number, since it uses less digits than its factorization.

402031101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174392 (or 174376 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 402031101440 its reverse (44101130204), we get a palindrome (446132231644).

The spelling of 402031101440 in words is "four hundred two billion, thirty-one million, one hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 53 64 68 80 85 106 128 136 160 170 212 256 265 272 320 340 424 512 530 544 640 680 848 901 1060 1088 1280 1360 1696 1802 2120 2176 2560 2720 3392 3604 4240 4352 4505 5440 6784 7208 8480 8704 9010 10880 13568 14416 16960 18020 21760 27136 28832 33920 36040 43520 57664 67840 72080 115328 135680 144160 174299 230656 288320 348598 461312 576640 697196 871495 1153280 1394392 1742990 2306560 2788784 2963083 3485980 5577568 5926166 6971960 9237847 11155136 11852332 13943920 14815415 18475694 22310272 23704664 27887840 29630830 36951388 44620544 46189235 47409328 55775680 59261660 73902776 89241088 92378470 94818656 111551360 118523320 147805552 157043399 184756940 189637312 223102720 237046640 295611104 314086798 369513880 379274624 446205440 474093280 591222208 628173596 739027760 758549248 785216995 948186560 1182444416 1256347192 1478055520 1517098496 1570433990 1896373120 2364888832 2512694384 2956111040 3140867980 3792746240 4729777664 5025388768 5912222080 6281735960 7585492480 10050777536 11824444160 12563471920 20101555072 23648888320 25126943840 40203110144 50253887680 80406220288 100507775360 201015550720 402031101440